The angular retardation of a rotating flywheel is proportional to the angle through which it rotates. If its kinetic energy gets reduced by Δ E while it rotates through an angle θ , then

Step-by-step solution

Using work energy theorem- Work done=change in kinetic energy Torque τ × Angular displacement θ = ∆ E Given, Torque τ = k θ (here k is any constant) ⇒   ∆ E = k θ × θ = k θ 2 ⇒   ∆ E ∝ θ 2